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Finding the Fourth Proportional to 172.24, 237.93 and 159.14

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Solution

The fourth proportional to 172.24, 237.93 and 159.14 is: 219.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.24 : 237.93 = 159.14 : x
  2. Step 2: Convert to fraction form
    172.24/237.93 = 159.14/x
  3. Step 3: Cross multiply
    172.24x = 237.93 × 159.14
  4. Step 4: Simplify right side
    172.24x = 37,864.18
  5. Step 5: Solve for x
    x = 37,864.18/172.24
  6. Step 6: Final answer
    x = 219.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.